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how do i install an unsigned firmware (IOS 10) to my iphone 6S running on IOS 11.2.1

Unfortunately, it is no longer possible to downgrade your iOS to version 10.X as Apple is only signing the 11.2.X version at this time unless you had previously saved your SHSH2 Blob (see this article on GadgetHacks).

You can’t. Only signed firmwares can be done on this phone.

While update firmware the modem firmware also upgraded so, downgrade is not possible on.

Apple has already turned off servers that digitally signed iOS 10 to allow for installation. Without this signature it is impossible to install iOS 10. If you used tiny umbrella to save those already signed signatures, you would still be able to downgrade to iOS 9 because the way the iOS signing occurred differently.